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Finding the Fourth Proportional to 166.05, 229.03 and 100.58

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Solution

The fourth proportional to 166.05, 229.03 and 100.58 is: 138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.05 : 229.03 = 100.58 : x
  2. Step 2: Convert to fraction form
    166.05/229.03 = 100.58/x
  3. Step 3: Cross multiply
    166.05x = 229.03 × 100.58
  4. Step 4: Simplify right side
    166.05x = 23,034.44
  5. Step 5: Solve for x
    x = 23,034.44/166.05
  6. Step 6: Final answer
    x = 138.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.